This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

**Figure 13.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 14.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 15.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 16.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 17.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 18.**- Residuals from logbook harvests.

Figure 18.- Residuals from logbook harvests.


SWHS residuals

**Figure 19.**- Residuals from SWHS harvests.

Figure 19.- Residuals from SWHS harvests.



**Figure 20.**- Residual of SWHS releases.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 21.**- Mean percent of harvest by charter anglers.

Figure 21.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 22.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 23.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 24.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 25.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 26.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 26.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 27.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 27.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 28.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 29.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 30.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 31.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 32.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 33.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 35.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 35.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 36.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 37.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.3695652

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.11 while 0.89 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

11

1

1

0.405

0.405

0.136

0.689

1.654

0.149

0.000

CSEO

p_pelagic

11

1

2

0.338

0.331

0.102

0.620

1.617

0.140

0.050

CSEO

p_yellow

11

1

2

0.731

0.749

0.457

0.919

1.011

0.121

-0.149

CSEO

p_pelagic

11

10

1

0.406

0.406

0.142

0.700

1.553

0.150

0.000

CSEO

p_pelagic

11

10

2

0.342

0.336

0.107

0.612

1.584

0.136

0.044

CSEO

p_pelagic

11

11

1

0.408

0.410

0.137

0.693

1.582

0.149

-0.013

CSEO

p_pelagic

11

11

2

0.343

0.333

0.109

0.631

1.540

0.139

0.072

CSEO

p_pelagic

11

12

1

0.412

0.408

0.147

0.706

1.549

0.149

0.027

CSEO

p_pelagic

11

12

2

0.345

0.337

0.106

0.630

1.522

0.139

0.057

CSEO

p_pelagic

11

13

1

0.410

0.409

0.141

0.694

1.583

0.147

0.007

CSEO

p_pelagic

11

13

2

0.345

0.337

0.110

0.619

1.570

0.139

0.058

CSEO

p_pelagic

11

14

1

0.407

0.406

0.135

0.687

1.533

0.148

0.007

CSEO

p_pelagic

11

14

2

0.346

0.341

0.109

0.619

1.520

0.135

0.037

CSEO

p_pelagic

11

15

1

0.411

0.410

0.140

0.702

1.526

0.145

0.007

CSEO

p_pelagic

11

15

2

0.347

0.339

0.117

0.623

1.456

0.136

0.059

CSEO

p_yellow

11

15

2

0.731

0.745

0.454

0.916

1.011

0.119

-0.118

CSEO

p_pelagic

11

16

1

0.408

0.409

0.149

0.682

1.548

0.143

-0.007

CSEO

p_pelagic

11

16

2

0.349

0.344

0.117

0.631

1.498

0.137

0.036

CSEO

p_yellow

11

16

1

0.868

0.884

0.689

0.966

1.012

0.073

-0.218

CSEO

p_pelagic

11

17

1

0.412

0.411

0.155

0.681

1.481

0.142

0.007

CSEO

p_pelagic

11

17

2

0.350

0.345

0.121

0.634

1.424

0.136

0.037

CSEO

p_pelagic

11

18

1

0.419

0.416

0.167

0.701

1.400

0.141

0.021

CSEO

p_pelagic

11

18

2

0.352

0.347

0.128

0.620

1.398

0.131

0.038

CSEO

p_yellow

11

18

2

0.730

0.747

0.456

0.925

1.012

0.121

-0.140

CSEO

p_pelagic

11

19

1

0.418

0.415

0.159

0.706

1.349

0.142

0.021

CSEO

p_pelagic

11

19

2

0.358

0.352

0.130

0.623

1.383

0.130

0.046

CSEO

p_pelagic

11

2

1

0.408

0.404

0.136

0.693

1.603

0.148

0.027

CSEO

p_pelagic

11

2

2

0.340

0.332

0.109

0.625

1.643

0.139

0.058

CSEO

p_yellow

11

2

1

0.870

0.886

0.691

0.967

1.010

0.073

-0.219

CSEO

p_yellow

11

2

2

0.731

0.745

0.462

0.916

1.012

0.119

-0.118

CSEO

p_pelagic

11

20

1

0.422

0.421

0.171

0.691

1.331

0.138

0.007

CSEO

p_pelagic

11

20

2

0.362

0.355

0.136

0.633

1.310

0.133

0.053

CSEO

p_pelagic

11

21

1

0.431

0.427

0.185

0.693

1.245

0.136

0.029

CSEO

p_pelagic

11

21

2

0.365

0.357

0.144

0.625

1.207

0.129

0.062

CSEO

p_yellow

11

21

1

0.868

0.883

0.692

0.965

1.012

0.072

-0.208

CSEO

p_pelagic

11

22

2

0.373

0.365

0.156

0.640

1.204

0.126

0.063

CSEO

p_pelagic

11

23

2

0.412

0.409

0.188

0.661

1.100

0.123

0.024

CSEO

p_pelagic

11

3

1

0.403

0.402

0.139

0.693

1.587

0.148

0.007

CSEO

p_pelagic

11

3

2

0.340

0.331

0.103

0.627

1.582

0.139

0.065

CSEO

p_yellow

11

3

2

0.732

0.747

0.457

0.919

1.013

0.121

-0.124

CSEO

p_pelagic

11

4

1

0.403

0.406

0.126

0.686

1.647

0.151

-0.020

CSEO

p_pelagic

11

4

2

0.344

0.336

0.100

0.639

1.629

0.145

0.055

CSEO

p_pelagic

11

5

1

0.407

0.410

0.129

0.697

1.646

0.150

-0.020

CSEO

p_pelagic

11

5

2

0.341

0.334

0.105

0.637

1.591

0.141

0.050

CSEO

p_pelagic

11

6

1

0.402

0.400

0.134

0.695

1.627

0.150

0.013

CSEO

p_pelagic

11

6

2

0.345

0.337

0.106

0.630

1.567

0.139

0.057

CSEO

p_pelagic

11

7

1

0.404

0.403

0.141

0.692

1.601

0.148

0.007

CSEO

p_pelagic

11

7

2

0.342

0.337

0.104

0.631

1.626

0.141

0.036

CSEO

p_pelagic

11

8

1

0.408

0.406

0.141

0.700

1.523

0.149

0.013

CSEO

p_pelagic

11

8

2

0.341

0.334

0.105

0.622

1.528

0.139

0.050

CSEO

p_pelagic

11

9

1

0.405

0.406

0.148

0.689

1.619

0.147

-0.007

CSEO

p_pelagic

11

9

2

0.341

0.331

0.104

0.633

1.591

0.141

0.071

CSEO

p_yellow

12

17

2

0.146

0.110

0.031

0.565

1.012

0.128

0.280

EWYKT

p_yellow

14

11

2

0.927

0.942

0.775

0.991

1.011

0.059

-0.253

NSEO

p_black

14

15

1

0.918

0.947

0.663

0.993

1.022

0.087

-0.332

NSEO

p_black

14

16

1

0.918

0.946

0.673

0.993

1.013

0.084

-0.333

NSEO

p_dsr

14

45

1

0.076

0.058

0.014

0.245

1.011

0.061

0.296

NSEO

p_yellow

15

23

1

0.371

0.357

0.131

0.681

1.014

0.149

0.094

SSEI

p_pelagic

16

1

1

0.394

0.389

0.147

0.666

1.068

0.139

0.036

SSEO

p_pelagic

16

1

2

0.371

0.365

0.125

0.661

1.082

0.139

0.043

SSEO

p_yellow

16

1

1

0.500

0.491

0.219

0.846

1.012

0.161

0.056

SSEO

p_pelagic

16

10

1

0.399

0.393

0.147

0.674

1.077

0.140

0.043

SSEO

p_pelagic

16

10

2

0.376

0.371

0.140

0.654

1.071

0.134

0.037

SSEO

p_yellow

16

10

1

0.503

0.493

0.218

0.855

1.011

0.163

0.061

SSEO

p_pelagic

16

11

1

0.397

0.391

0.156

0.670

1.059

0.137

0.044

SSEO

p_pelagic

16

11

2

0.376

0.369

0.146

0.653

1.051

0.135

0.052

SSEO

p_pelagic

16

12

1

0.405

0.398

0.159

0.683

1.055

0.136

0.051

SSEO

p_pelagic

16

12

2

0.380

0.370

0.136

0.666

1.057

0.139

0.072

SSEO

p_pelagic

16

13

1

0.404

0.400

0.162

0.678

1.070

0.136

0.029

SSEO

p_pelagic

16

13

2

0.380

0.371

0.146

0.651

1.065

0.134

0.067

SSEO

p_yellow

16

13

1

0.501

0.492

0.209

0.846

1.014

0.161

0.056

SSEO

p_yellow

16

13

2

0.497

0.488

0.218

0.830

1.012

0.161

0.056

SSEO

p_pelagic

16

14

1

0.407

0.403

0.162

0.681

1.045

0.137

0.029

SSEO

p_pelagic

16

14

2

0.386

0.379

0.150

0.657

1.048

0.135

0.052

SSEO

p_yellow

16

14

1

0.498

0.490

0.215

0.832

1.013

0.161

0.050

SSEO

p_pelagic

16

15

1

0.405

0.400

0.169

0.674

1.052

0.133

0.037

SSEO

p_pelagic

16

15

2

0.386

0.380

0.147

0.672

1.063

0.134

0.045

SSEO

p_yellow

16

15

2

0.495

0.484

0.213

0.843

1.010

0.163

0.068

SSEO

p_pelagic

16

16

1

0.406

0.400

0.171

0.685

1.057

0.134

0.045

SSEO

p_pelagic

16

16

2

0.383

0.373

0.157

0.656

1.067

0.132

0.076

SSEO

p_yellow

16

16

1

0.500

0.493

0.212

0.840

1.010

0.161

0.043

SSEO

p_pelagic

16

17

1

0.410

0.400

0.177

0.679

1.048

0.131

0.076

SSEO

p_pelagic

16

17

2

0.387

0.377

0.158

0.655

1.064

0.131

0.076

SSEO

p_pelagic

16

18

1

0.413

0.405

0.179

0.685

1.063

0.132

0.060

SSEO

p_pelagic

16

18

2

0.392

0.386

0.154

0.655

1.047

0.129

0.047

SSEO

p_pelagic

16

19

1

0.417

0.412

0.190

0.678

1.046

0.131

0.038

SSEO

p_pelagic

16

19

2

0.395

0.388

0.169

0.662

1.043

0.131

0.054

SSEO

p_pelagic

16

2

1

0.397

0.391

0.141

0.679

1.061

0.141

0.043

SSEO

p_pelagic

16

2

2

0.372

0.365

0.131

0.654

1.065

0.139

0.050

SSEO

p_yellow

16

2

1

0.496

0.485

0.214

0.850

1.014

0.162

0.068

SSEO

p_pelagic

16

20

1

0.422

0.419

0.184

0.678

1.033

0.131

0.023

SSEO

p_pelagic

16

20

2

0.401

0.395

0.173

0.673

1.046

0.131

0.046

SSEO

p_yellow

16

20

2

0.495

0.484

0.204

0.843

1.013

0.162

0.068

SSEO

p_pelagic

16

21

1

0.430

0.424

0.194

0.690

1.037

0.131

0.046

SSEO

p_pelagic

16

21

2

0.407

0.397

0.179

0.683

1.041

0.128

0.078

SSEO

p_yellow

16

21

2

0.496

0.487

0.208

0.839

1.011

0.163

0.055

SSEO

p_pelagic

16

22

2

0.412

0.405

0.189

0.671

1.016

0.126

0.055

SSEO

p_yellow

16

22

1

0.490

0.478

0.208

0.837

1.013

0.162

0.074

SSEO

p_yellow

16

22

2

0.493

0.481

0.209

0.844

1.011

0.165

0.073

SSEO

p_pelagic

16

23

2

0.307

0.296

0.128

0.551

1.016

0.111

0.099

SSEO

p_pelagic

16

3

1

0.394

0.389

0.141

0.690

1.069

0.143

0.035

SSEO

p_pelagic

16

3

2

0.370

0.362

0.129

0.656

1.070

0.138

0.058

SSEO

p_yellow

16

3

1

0.503

0.491

0.224

0.842

1.012

0.162

0.074

SSEO

p_pelagic

16

4

1

0.394

0.387

0.146

0.671

1.075

0.141

0.050

SSEO

p_pelagic

16

4

2

0.373

0.366

0.134

0.667

1.060

0.140

0.050

SSEO

p_pelagic

16

5

1

0.394

0.389

0.146

0.674

1.070

0.141

0.036

SSEO

p_pelagic

16

5

2

0.372

0.365

0.135

0.663

1.073

0.138

0.051

SSEO

p_pelagic

16

6

1

0.392

0.384

0.151

0.673

1.078

0.139

0.058

SSEO

p_pelagic

16

6

2

0.370

0.360

0.129

0.657

1.071

0.139

0.072

SSEO

p_yellow

16

6

1

0.502

0.493

0.223

0.839

1.012

0.162

0.056

SSEO

p_pelagic

16

7

1

0.393

0.386

0.149

0.666

1.082

0.136

0.051

SSEO

p_pelagic

16

7

2

0.373

0.362

0.137

0.650

1.069

0.135

0.081

SSEO

p_yellow

16

7

1

0.502

0.493

0.218

0.848

1.011

0.162

0.056

SSEO

p_yellow

16

7

2

0.495

0.485

0.210

0.851

1.012

0.165

0.061

SSEO

p_pelagic

16

8

1

0.396

0.389

0.152

0.674

1.056

0.137

0.051

SSEO

p_pelagic

16

8

2

0.377

0.371

0.130

0.661

1.074

0.139

0.043

SSEO

p_yellow

16

8

2

0.498

0.490

0.206

0.857

1.012

0.165

0.048

SSEO

p_pelagic

16

9

1

0.398

0.392

0.152

0.678

1.080

0.138

0.044

SSEO

p_pelagic

16

9

2

0.377

0.370

0.132

0.671

1.063

0.137

0.051

SSEO

p_pelagic

3

1

1

0.550

0.555

0.291

0.796

1.014

0.133

-0.038

PWSI

p_pelagic

3

1

2

0.190

0.177

0.066

0.383

1.011

0.083

0.157

PWSI

p_pelagic

3

10

1

0.547

0.551

0.272

0.781

1.021

0.132

-0.030

PWSI

p_pelagic

3

10

2

0.190

0.178

0.065

0.381

1.012

0.083

0.144

PWSI

p_pelagic

3

11

1

0.549

0.553

0.286

0.786

1.024

0.132

-0.030

PWSI

p_pelagic

3

11

2

0.190

0.174

0.066

0.391

1.019

0.085

0.188

PWSI

p_pelagic

3

12

1

0.547

0.550

0.291

0.787

1.013

0.131

-0.023

PWSI

p_pelagic

3

12

2

0.187

0.173

0.063

0.377

1.013

0.082

0.170

PWSI

p_pelagic

3

13

1

0.549

0.557

0.278

0.791

1.012

0.132

-0.061

PWSI

p_pelagic

3

13

2

0.190

0.176

0.064

0.391

1.025

0.084

0.166

PWSI

p_pelagic

3

14

1

0.553

0.556

0.285

0.791

1.017

0.131

-0.023

PWSI

p_pelagic

3

14

2

0.190

0.178

0.064

0.390

1.011

0.085

0.141

PWSI

p_pelagic

3

15

1

0.544

0.551

0.287

0.778

1.017

0.128

-0.055

PWSI

p_pelagic

3

15

2

0.188

0.176

0.066

0.384

1.015

0.083

0.145

PWSI

p_pelagic

3

16

1

0.553

0.560

0.289

0.785

1.014

0.130

-0.054

PWSI

p_pelagic

3

16

2

0.189

0.173

0.065

0.389

1.024

0.085

0.188

PWSI

p_pelagic

3

17

1

0.550

0.553

0.284

0.786

1.023

0.131

-0.023

PWSI

p_pelagic

3

17

2

0.190

0.175

0.068

0.390

1.016

0.084

0.179

PWSI

p_pelagic

3

18

1

0.550

0.553

0.295

0.790

1.013

0.128

-0.023

PWSI

p_pelagic

3

18

2

0.191

0.179

0.066

0.384

1.016

0.084

0.143

PWSI

p_pelagic

3

19

1

0.552

0.558

0.289

0.784

1.012

0.129

-0.047

PWSI

p_pelagic

3

19

2

0.190

0.177

0.067

0.389

1.020

0.084

0.155

PWSI

p_pelagic

3

2

1

0.544

0.551

0.286

0.779

1.014

0.129

-0.054

PWSI

p_pelagic

3

2

2

0.189

0.175

0.065

0.386

1.014

0.083

0.169

PWSI

p_pelagic

3

3

1

0.548

0.555

0.278

0.793

1.016

0.133

-0.053

PWSI

p_pelagic

3

3

2

0.187

0.173

0.064

0.389

1.018

0.082

0.170

PWSI

p_pelagic

3

4

1

0.545

0.551

0.278

0.783

1.019

0.132

-0.045

PWSI

p_pelagic

3

4

2

0.189

0.175

0.063

0.390

1.018

0.085

0.164

PWSI

p_pelagic

3

5

1

0.549

0.556

0.285

0.781

1.020

0.130

-0.054

PWSI

p_pelagic

3

5

2

0.191

0.180

0.064

0.392

1.012

0.086

0.128

PWSI

p_pelagic

3

6

1

0.547

0.553

0.286

0.787

1.012

0.131

-0.046

PWSI

p_pelagic

3

7

1

0.548

0.555

0.288

0.786

1.021

0.130

-0.054

PWSI

p_pelagic

3

7

2

0.189

0.176

0.063

0.387

1.020

0.084

0.154

PWSI

p_pelagic

3

8

1

0.544

0.548

0.270

0.783

1.019

0.130

-0.031

PWSI

p_pelagic

3

8

2

0.187

0.174

0.065

0.390

1.011

0.083

0.156

PWSI

p_pelagic

3

9

1

0.547

0.548

0.280

0.782

1.019

0.130

-0.008

PWSI

p_pelagic

3

9

2

0.187

0.173

0.066

0.387

1.017

0.083

0.169

PWSI

p_yellow

4

1

1

0.889

0.903

0.718

0.985

1.019

0.071

-0.196

PWSO

p_yellow

4

10

1

0.887

0.902

0.713

0.980

1.013

0.071

-0.212

PWSO

p_yellow

4

10

2

0.881

0.898

0.684

0.980

1.010

0.077

-0.220

PWSO

p_yellow

4

11

1

0.886

0.901

0.716

0.981

1.013

0.071

-0.213

PWSO

p_yellow

4

11

2

0.881

0.896

0.687

0.980

1.011

0.077

-0.196

PWSO

p_yellow

4

14

1

0.882

0.899

0.689

0.977

1.017

0.074

-0.229

PWSO

p_yellow

4

15

2

0.878

0.895

0.699

0.975

1.013

0.075

-0.226

PWSO

p_yellow

4

16

1

0.882

0.899

0.697

0.975

1.011

0.073

-0.234

PWSO

p_yellow

4

2

1

0.885

0.902

0.704

0.985

1.015

0.074

-0.229

PWSO

p_yellow

4

2

2

0.881

0.897

0.696

0.985

1.014

0.077

-0.208

PWSO

p_yellow

4

3

1

0.888

0.902

0.698

0.985

1.011

0.073

-0.192

PWSO

p_yellow

4

4

2

0.882

0.898

0.691

0.984

1.014

0.077

-0.209

PWSO

p_yellow

4

5

2

0.881

0.898

0.692

0.984

1.012

0.076

-0.223

PWSO

p_yellow

4

6

1

0.884

0.901

0.696

0.983

1.010

0.076

-0.222

PWSO

p_yellow

4

6

2

0.882

0.899

0.688

0.982

1.017

0.077

-0.221

PWSO

p_yellow

4

7

1

0.887

0.902

0.715

0.984

1.011

0.072

-0.208

PWSO

p_black

8

40

1

0.485

0.417

0.345

0.963

1.019

0.188

0.361

afognak

p_black

8

48

1

0.524

0.491

0.410

0.963

1.033

0.128

0.257

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

beta1_pH

1

1

2.989

2.897

2.032

4.751

1.154

0.655

0.140

CI

beta2_pH

1

1

0.651

0.575

0.231

1.664

1.129

0.388

0.196

CI

beta0_pH

10

1

-0.155

-0.028

-1.690

0.435

1.711

0.510

-0.249

northeast

beta0_pH

10

3

0.019

0.204

-2.179

1.012

1.148

0.808

-0.229

northeast

beta1_pH

10

1

2.771

2.659

1.777

4.319

1.562

0.666

0.168

northeast

beta1_pH

10

3

3.993

3.360

2.298

9.895

1.182

1.822

0.347

northeast

beta2_pH

10

3

3.113

0.850

0.140

17.131

1.111

4.571

0.495

northeast

beta3_pH

10

1

31.791

31.961

26.789

35.132

1.280

1.940

-0.088

northeast

beta0_pH

11

1

0.460

0.530

-0.233

0.903

1.774

0.299

-0.234

CSEO

beta1_pH

11

1

2.747

2.683

2.112

3.667

1.446

0.405

0.158

CSEO

beta2_pH

11

1

0.768

0.612

0.301

2.161

1.278

0.497

0.314

CSEO

beta2_pH

11

4

-5.704

-4.266

-17.728

-0.729

1.195

4.545

-0.316

CSEO

beta3_pH

11

1

31.844

31.967

29.445

33.729

1.361

1.119

-0.110

CSEO

beta0_pelagic

11

-0.437

-0.217

-1.385

0.069

4.501

0.456

-0.482

CSEO

beta1_pelagic

11

1.511

1.249

0.856

2.575

4.488

0.549

0.477

CSEO

beta2_pelagic

11

1.342

0.772

0.176

5.381

1.438

1.432

0.398

CSEO

beta3_pelagic

11

29.187

29.480

25.102

32.423

2.071

1.905

-0.154

CSEO

beta2_yellow

11

-3.278

-2.180

-14.733

-0.431

1.130

3.758

-0.292

CSEO

beta2_pH

12

4

-5.866

-4.342

-17.915

-0.929

1.200

4.614

-0.330

EWYKT

beta0_pH

13

4

0.695

0.717

-0.251

1.560

1.116

0.468

-0.047

NSEI

beta1_pH

13

4

1.338

1.329

0.382

2.323

1.109

0.494

0.018

NSEI

beta2_pH

13

4

-5.648

-4.148

-17.877

-0.902

1.217

4.555

-0.329

NSEI

beta2_pelagic

13

0.337

0.247

0.118

1.220

1.176

0.335

0.269

NSEI

beta2_pH

14

4

-5.725

-4.141

-18.207

-1.153

1.200

4.540

-0.349

NSEO

beta1_pelagic

14

1.763

1.701

1.133

2.838

1.149

0.409

0.152

NSEO

beta0_pH

15

1

0.024

0.041

-0.448

0.378

1.234

0.204

-0.083

SSEI

beta0_pH

15

4

0.613

0.641

-0.342

1.362

1.201

0.446

-0.063

SSEI

beta1_pH

15

1

2.434

2.421

1.938

3.046

1.174

0.269

0.048

SSEI

beta1_pH

15

4

1.463

1.442

0.618

2.560

1.161

0.504

0.042

SSEI

beta2_pH

15

1

0.930

0.840

0.400

2.040

1.143

0.446

0.202

SSEI

beta2_pH

15

4

-5.243

-3.542

-17.856

-0.044

1.300

4.687

-0.363

SSEI

beta3_pH

15

4

40.673

40.913

37.014

42.373

1.236

1.386

-0.173

SSEI

beta0_pelagic

15

-0.257

-0.226

-0.553

-0.188

1.205

0.097

-0.318

SSEI

beta0_yellow

15

-1.057

-0.991

-2.095

-0.800

1.355

0.296

-0.223

SSEI

beta1_yellow

15

0.892

0.772

0.093

2.587

1.152

0.629

0.191

SSEI

beta2_pH

16

4

-5.914

-4.452

-18.110

-1.354

1.187

4.376

-0.334

SSEO

beta0_pelagic

16

-0.494

-0.387

-1.372

0.063

1.263

0.403

-0.265

SSEO

beta3_pelagic

16

32.352

31.850

26.383

40.132

1.168

3.499

0.143

SSEO

beta1_yellow

16

0.325

0.140

0.011

1.579

1.114

0.515

0.359

SSEO

mu_beta1_pH

2

3

4.002

3.651

1.020

9.391

1.111

2.090

0.168

NG

mu_beta2_pH

2

3

3.583

1.976

-1.183

16.819

1.108

4.590

0.350

NG

beta0_pH

2

1

0.785

0.856

-0.068

1.487

1.228

0.438

-0.162

NG

beta3_pH

2

1

32.187

31.678

27.689

39.929

1.510

2.954

0.172

NG

beta0_yellow

2

0.531

0.551

0.227

0.693

1.167

0.136

-0.147

NG

mu_beta2_pH

3

4

-5.256

-3.716

-16.600

-0.412

1.238

4.451

-0.346

PWSI

beta0_pH

3

1

0.810

0.867

-0.533

1.635

1.122

0.541

-0.105

PWSI

beta1_pH

3

1

2.860

2.728

1.353

5.029

1.186

0.991

0.133

PWSI

beta2_pH

3

1

0.432

0.259

0.092

2.269

1.116

0.519

0.333

PWSI

beta4_pH

3

4

0.923

0.604

0.102

3.438

1.174

1.987

0.161

PWSI

beta0_pelagic

3

0.203

0.257

-0.378

0.542

1.158

0.234

-0.231

PWSI

beta1_pelagic

3

0.756

0.725

0.355

1.378

1.140

0.246

0.126

PWSI

beta3_pelagic

3

28.171

28.968

23.264

31.927

1.108

2.696

-0.296

PWSI

beta0_pH

4

1

0.909

0.993

-0.070

1.628

1.105

0.468

-0.179

PWSO

beta2_pH

4

1

0.370

0.273

0.099

1.390

1.150

0.316

0.307

PWSO

beta3_pH

4

1

32.334

31.969

27.115

40.834

1.131

3.093

0.118

PWSO

beta3_pelagic

4

26.307

26.326

23.549

30.268

1.125

1.588

-0.012

PWSO

beta0_yellow

4

0.814

0.930

-0.307

1.188

1.135

0.374

-0.310

PWSO

beta1_yellow

4

1.529

1.196

0.635

4.433

1.111

0.942

0.353

PWSO

beta1_pH

5

1

2.697

2.617

1.765

4.145

1.108

0.594

0.135

BSAI

beta4_pH

5

4

0.845

0.604

0.118

3.005

1.143

1.416

0.170

BSAI

beta4_pH

5

5

0.876

0.605

0.123

2.946

1.231

2.544

0.107

BSAI

beta4_pH

6

3

1.063

0.746

0.178

3.248

1.233

3.482

0.091

SOKO2SAP

beta2_pH

8

3

5.008

3.608

0.632

16.977

1.101

4.363

0.321

afognak

beta2_pH

9

3

2.570

0.556

0.217

16.715

1.123

4.425

0.455

eastside

lambda_H

10

0.309

0.184

0.027

1.183

1.136

0.762

0.164

northeast

lambda_H

15

0.021

0.014

0.003

0.074

1.142

0.038

0.182

SSEI

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

1,264.00

237.00

1,786.00

390.00

Prop. of total

0.84

0.16

0.82

0.18

Prop. median less than 1

0.15

0.21

0.21

0.41

Prop. median less than 10

0.23

0.52

0.34

0.66

Prop. median less than 50

0.35

0.74

0.47

0.81

Median of the median values

306.95

8.77

61.33

2.95

Mean of the median values

1,467.66

110.16

722.56

82.54

Mean skew of posteriors

0.20

0.28

0.26

0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

144.00

14.00

146.00

58.00

Prop. of total

0.91

0.09

0.72

0.28

Prop. median less than 1

0.05

0.64

0.44

0.48

Prop. median less than 10

0.05

0.93

0.49

0.71

Prop. median less than 50

0.05

1.00

0.54

0.95

Median of the median values

1,702.25

0.48

34.38

2.05

Mean of the median values

1,751.12

1.78

739.41

11.75

Mean skew of posteriors

0.16

0.20

0.20

0.16

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta0_pelagic

4

beta0_pH

8

beta0_yellow

3

beta1_pelagic

3

beta1_pH

7

beta1_yellow

3

beta2_pelagic

2

beta2_pH

13

beta2_yellow

1

beta3_pelagic

3

beta3_pH

5

beta4_pH

4

Bp_ay

18

Bp_ayg

17

H_ayg

1

Hb_ay

21

Hb_ayg

22

Hb_ayu

13

Hd_ay

19

Hd_ayg

10

Hd_ayu

4

Ho_ay

26

Ho_ayg

14

Ho_ayu

13

Hp_ay

21

Hp_ayg

22

Hp_ayu

14

Hs_ayu

3

Hy_ay

22

Hy_ayg

24

Hy_ayu

19

lambda_H

2

mu_beta1_pH

1

mu_beta2_pH

1

mu_wt

9

mu2_wt

1

p_pelagic

43

pH

25

R_ay

35

R_ayg

30

R_ayu

21

Rb_ay

20

Rb_ayg

31

Rd_ay

2

Rd_ayg

2

Rd_ayu

5

re_pelagic

31

re_pH

33

re_yellow

4

Ro_ay

56

Ro_ayg

21

Ro_ayu

63

Rp_ay

19

Rp_ayg

31

Rs_ay

3

Rs_ayg

7

Rs_ayu

21

Ry_ay

14

Ry_ayg

3

Ry_ayu

27

sd2_wt

1

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.142 0.066 -0.269 -0.144 -0.006
mu_bc_H[2] -0.104 0.040 -0.174 -0.107 -0.018
mu_bc_H[3] -0.413 0.068 -0.543 -0.416 -0.280
mu_bc_H[4] -1.152 0.230 -1.664 -1.141 -0.714
mu_bc_H[5] 1.276 1.197 -0.012 0.997 4.246
mu_bc_H[6] -2.293 0.378 -3.025 -2.284 -1.554
mu_bc_H[7] -0.486 0.108 -0.705 -0.484 -0.287
mu_bc_H[8] 0.242 0.349 -0.333 0.213 0.992
mu_bc_H[9] -0.346 0.148 -0.648 -0.343 -0.065
mu_bc_H[10] -0.118 0.063 -0.239 -0.120 0.009
mu_bc_H[11] -0.113 0.040 -0.195 -0.113 -0.033
mu_bc_H[12] -0.259 0.111 -0.493 -0.253 -0.052
mu_bc_H[13] -0.178 0.078 -0.334 -0.179 -0.027
mu_bc_H[14] -0.356 0.102 -0.567 -0.352 -0.169
mu_bc_H[15] -0.329 0.047 -0.420 -0.329 -0.236
mu_bc_H[16] -0.273 0.383 -0.966 -0.299 0.524
mu_bc_R[1] 1.636 0.182 1.290 1.636 1.990
mu_bc_R[2] 1.611 0.093 1.427 1.612 1.794
mu_bc_R[3] 1.371 0.148 1.074 1.369 1.652
mu_bc_R[4] 1.094 0.183 0.725 1.098 1.454
mu_bc_R[5] 1.438 0.776 -0.151 1.466 2.929
mu_bc_R[6] -2.026 0.704 -3.474 -1.989 -0.678
mu_bc_R[7] 0.302 0.203 -0.113 0.312 0.682
mu_bc_R[8] 0.520 0.228 0.070 0.518 0.972
mu_bc_R[9] 0.619 0.264 0.101 0.623 1.130
mu_bc_R[10] 1.566 0.162 1.250 1.566 1.889
mu_bc_R[11] 0.981 0.131 0.719 0.982 1.238
mu_bc_R[12] 0.952 0.281 0.422 0.951 1.546
mu_bc_R[13] 1.131 0.164 0.806 1.137 1.458
mu_bc_R[14] 1.176 0.219 0.742 1.171 1.609
mu_bc_R[15] 0.701 0.183 0.347 0.697 1.065
mu_bc_R[16] 1.120 0.171 0.762 1.125 1.457
tau_pH[1] 2.433 0.180 2.086 2.432 2.790
tau_pH[2] 1.576 0.152 1.295 1.567 1.894
tau_pH[3] 1.304 0.123 1.070 1.300 1.547
tau_pH[4] 1.207 0.170 0.909 1.194 1.580
tau_pH[5] 0.457 0.080 0.323 0.451 0.627
beta0_pH[1,1] 0.388 0.220 -0.135 0.399 0.790
beta0_pH[2,1] 0.785 0.438 -0.068 0.856 1.487
beta0_pH[3,1] 0.810 0.541 -0.533 0.867 1.635
beta0_pH[4,1] 0.909 0.468 -0.070 0.993 1.628
beta0_pH[5,1] -1.092 0.486 -2.283 -1.022 -0.348
beta0_pH[6,1] -0.528 0.375 -1.404 -0.485 0.117
beta0_pH[7,1] 0.758 0.011 0.738 0.758 0.779
beta0_pH[8,1] -0.520 0.304 -1.195 -0.503 0.000
beta0_pH[9,1] -0.940 0.461 -1.927 -0.873 -0.210
beta0_pH[10,1] -0.155 0.510 -1.690 -0.028 0.435
beta0_pH[11,1] 0.460 0.299 -0.233 0.530 0.903
beta0_pH[12,1] 0.564 0.219 0.115 0.581 0.952
beta0_pH[13,1] -0.891 0.196 -1.288 -0.881 -0.553
beta0_pH[14,1] -0.094 0.162 -0.403 -0.096 0.223
beta0_pH[15,1] 0.024 0.204 -0.448 0.041 0.378
beta0_pH[16,1] -0.748 0.209 -1.183 -0.743 -0.383
beta0_pH[1,2] 2.568 0.086 2.405 2.567 2.736
beta0_pH[2,2] 3.080 0.022 3.038 3.080 3.123
beta0_pH[3,2] 3.628 0.041 3.548 3.628 3.710
beta0_pH[4,2] 2.936 0.019 2.899 2.936 2.972
beta0_pH[5,2] 4.572 1.315 2.781 4.293 8.005
beta0_pH[6,2] 3.331 0.157 3.035 3.326 3.654
beta0_pH[7,2] 2.033 0.050 1.937 2.033 2.130
beta0_pH[8,2] 2.823 0.065 2.697 2.822 2.951
beta0_pH[9,2] 3.960 0.207 3.579 3.953 4.390
beta0_pH[10,2] 3.997 0.130 3.757 3.993 4.255
beta0_pH[11,2] 1.885 0.009 1.868 1.886 1.904
beta0_pH[12,2] 1.795 0.068 1.667 1.792 1.935
beta0_pH[13,2] 2.495 0.026 2.446 2.495 2.547
beta0_pH[14,2] 1.804 0.024 1.756 1.804 1.850
beta0_pH[15,2] 2.544 0.017 2.511 2.544 2.576
beta0_pH[16,2] 2.760 0.025 2.713 2.759 2.809
beta0_pH[1,3] 1.119 0.347 0.235 1.180 1.664
beta0_pH[2,3] 2.128 0.017 2.094 2.128 2.162
beta0_pH[3,3] 2.693 0.024 2.647 2.692 2.740
beta0_pH[4,3] 2.980 0.034 2.913 2.980 3.047
beta0_pH[5,3] 3.051 1.773 0.827 2.648 7.562
beta0_pH[6,3] 1.356 0.371 0.720 1.330 2.144
beta0_pH[7,3] 0.859 0.049 0.764 0.860 0.953
beta0_pH[8,3] 0.317 0.136 0.032 0.325 0.559
beta0_pH[9,3] -2.018 0.983 -3.932 -2.050 -0.383
beta0_pH[10,3] 0.019 0.808 -2.179 0.204 1.012
beta0_pH[11,3] 1.117 0.460 0.119 1.149 1.965
beta0_pH[12,3] 1.050 0.627 -0.206 1.031 2.221
beta0_pH[13,3] 0.986 0.433 0.050 1.010 1.754
beta0_pH[14,3] 0.571 0.392 -0.253 0.592 1.281
beta0_pH[15,3] 0.725 0.391 -0.091 0.745 1.425
beta0_pH[16,3] 1.197 0.569 0.099 1.193 2.328
beta0_pH[11,4] 0.880 0.402 0.075 0.891 1.669
beta0_pH[12,4] 0.934 0.669 -0.366 0.902 2.259
beta0_pH[13,4] 0.695 0.468 -0.251 0.717 1.560
beta0_pH[14,4] 0.288 0.432 -0.671 0.324 1.034
beta0_pH[15,4] 0.613 0.446 -0.342 0.641 1.362
beta0_pH[16,4] 0.944 0.566 -0.159 0.926 2.093
beta0_pH[11,5] 2.966 0.143 2.709 2.961 3.263
beta0_pH[12,5] -0.692 0.570 -1.852 -0.689 0.438
beta0_pH[13,5] 4.858 0.399 4.111 4.840 5.680
beta0_pH[14,5] 3.881 0.363 3.241 3.868 4.649
beta0_pH[15,5] 2.281 0.122 2.053 2.275 2.535
beta0_pH[16,5] 0.199 0.092 0.058 0.187 0.417
beta1_pH[1,1] 2.989 0.655 2.032 2.897 4.751
beta1_pH[2,1] 2.740 0.815 1.444 2.612 4.693
beta1_pH[3,1] 2.860 0.991 1.353 2.728 5.029
beta1_pH[4,1] 3.152 1.045 1.736 2.880 5.526
beta1_pH[5,1] 2.697 0.594 1.765 2.617 4.145
beta1_pH[6,1] 2.491 0.841 1.289 2.341 4.647
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.557 0.815 1.292 2.407 4.593
beta1_pH[9,1] 2.674 0.674 1.623 2.581 4.399
beta1_pH[10,1] 2.771 0.666 1.777 2.659 4.319
beta1_pH[11,1] 2.747 0.405 2.112 2.683 3.667
beta1_pH[12,1] 2.931 0.305 2.382 2.915 3.547
beta1_pH[13,1] 3.729 0.291 3.214 3.718 4.308
beta1_pH[14,1] 3.002 0.272 2.476 2.999 3.567
beta1_pH[15,1] 2.434 0.269 1.938 2.421 3.046
beta1_pH[16,1] 3.751 0.288 3.227 3.745 4.341
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 1.851 0.983 0.057 1.777 4.177
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 3.558 1.065 1.697 3.461 6.027
beta1_pH[9,3] 4.510 1.237 2.630 4.363 7.340
beta1_pH[10,3] 3.993 1.822 2.298 3.360 9.895
beta1_pH[11,3] 2.187 0.489 1.244 2.179 3.203
beta1_pH[12,3] 2.986 0.629 1.889 2.961 4.268
beta1_pH[13,3] 2.005 0.463 1.166 1.994 2.936
beta1_pH[14,3] 2.211 0.441 1.382 2.205 3.112
beta1_pH[15,3] 2.100 0.455 1.263 2.074 3.025
beta1_pH[16,3] 3.297 0.622 2.102 3.303 4.506
beta1_pH[11,4] 1.960 0.465 1.039 1.949 2.917
beta1_pH[12,4] 2.903 0.669 1.604 2.915 4.277
beta1_pH[13,4] 1.338 0.494 0.382 1.329 2.323
beta1_pH[14,4] 2.111 0.492 1.242 2.080 3.191
beta1_pH[15,4] 1.463 0.504 0.618 1.442 2.560
beta1_pH[16,4] 3.012 0.630 1.757 3.019 4.226
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 0.651 0.388 0.231 0.575 1.664
beta2_pH[2,1] 0.478 0.484 0.114 0.330 1.913
beta2_pH[3,1] 0.432 0.519 0.092 0.259 2.269
beta2_pH[4,1] 0.370 0.316 0.099 0.273 1.390
beta2_pH[5,1] 1.393 1.304 0.245 0.988 4.924
beta2_pH[6,1] 0.567 0.855 0.120 0.324 2.673
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.515 0.754 0.126 0.319 2.331
beta2_pH[9,1] 0.532 0.561 0.142 0.388 1.915
beta2_pH[10,1] 0.693 0.802 0.179 0.488 2.387
beta2_pH[11,1] 0.768 0.497 0.301 0.612 2.161
beta2_pH[12,1] 1.208 0.592 0.570 1.056 3.061
beta2_pH[13,1] 0.890 0.283 0.506 0.845 1.516
beta2_pH[14,1] 1.011 0.480 0.498 0.898 2.497
beta2_pH[15,1] 0.930 0.446 0.400 0.840 2.040
beta2_pH[16,1] 1.132 0.420 0.685 1.046 2.200
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 6.835 6.482 0.226 5.284 22.077
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 5.008 4.363 0.632 3.608 16.977
beta2_pH[9,3] 2.570 4.425 0.217 0.556 16.715
beta2_pH[10,3] 3.113 4.571 0.140 0.850 17.131
beta2_pH[11,3] -6.124 4.723 -18.134 -4.809 -0.589
beta2_pH[12,3] -6.901 4.619 -18.167 -5.900 -1.028
beta2_pH[13,3] -6.361 4.638 -18.241 -5.050 -1.108
beta2_pH[14,3] -6.459 4.602 -18.468 -5.038 -1.271
beta2_pH[15,3] -6.791 4.694 -18.668 -5.463 -1.261
beta2_pH[16,3] -6.604 4.399 -17.710 -5.346 -1.542
beta2_pH[11,4] -5.704 4.545 -17.728 -4.266 -0.729
beta2_pH[12,4] -5.866 4.614 -17.915 -4.342 -0.929
beta2_pH[13,4] -5.648 4.555 -17.877 -4.148 -0.902
beta2_pH[14,4] -5.725 4.540 -18.207 -4.141 -1.153
beta2_pH[15,4] -5.243 4.687 -17.856 -3.542 -0.044
beta2_pH[16,4] -5.914 4.376 -18.110 -4.452 -1.354
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 35.003 1.275 32.754 34.932 37.842
beta3_pH[2,1] 32.187 2.954 27.689 31.678 39.929
beta3_pH[3,1] 32.468 2.761 27.169 32.393 38.941
beta3_pH[4,1] 32.334 3.093 27.115 31.969 40.834
beta3_pH[5,1] 27.377 1.309 25.256 27.294 30.159
beta3_pH[6,1] 34.598 3.690 28.104 34.033 41.929
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 36.891 3.531 30.554 37.073 42.870
beta3_pH[9,1] 29.865 2.449 26.204 29.504 35.630
beta3_pH[10,1] 31.791 1.940 26.789 31.961 35.132
beta3_pH[11,1] 31.844 1.119 29.445 31.967 33.729
beta3_pH[12,1] 30.545 0.535 29.429 30.572 31.529
beta3_pH[13,1] 30.989 0.496 30.052 30.976 32.007
beta3_pH[14,1] 32.348 0.659 31.174 32.322 33.693
beta3_pH[15,1] 30.875 0.764 29.266 30.917 32.292
beta3_pH[16,1] 29.880 0.361 29.194 29.865 30.612
beta3_pH[1,2] 33.993 5.195 25.460 34.020 42.542
beta3_pH[2,2] 34.056 5.118 25.502 34.139 42.545
beta3_pH[3,2] 30.444 7.277 18.602 30.325 42.366
beta3_pH[4,2] 30.362 7.365 18.577 30.269 42.316
beta3_pH[5,2] 30.449 7.057 18.630 30.203 42.129
beta3_pH[6,2] 30.497 7.349 18.537 30.441 42.426
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 38.293 3.240 29.874 39.615 42.082
beta3_pH[2,3] 33.918 5.251 25.418 33.914 42.523
beta3_pH[3,3] 30.534 7.235 18.659 30.525 42.385
beta3_pH[4,3] 30.570 7.230 18.656 30.738 42.241
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 41.631 0.591 40.485 41.619 42.796
beta3_pH[9,3] 31.819 1.303 30.060 31.535 34.094
beta3_pH[10,3] 35.532 1.813 32.184 35.652 39.900
beta3_pH[11,3] 40.644 1.070 38.999 40.621 42.682
beta3_pH[12,3] 41.806 1.077 39.133 42.248 42.856
beta3_pH[13,3] 41.376 0.669 40.101 41.371 42.762
beta3_pH[14,3] 40.481 0.657 39.162 40.519 41.697
beta3_pH[15,3] 40.635 0.586 39.285 40.652 41.829
beta3_pH[16,3] 41.976 0.399 41.112 41.999 42.755
beta3_pH[11,4] 40.335 0.913 38.503 40.371 42.078
beta3_pH[12,4] 41.649 0.988 39.465 42.063 42.831
beta3_pH[13,4] 41.478 1.143 39.176 41.662 42.923
beta3_pH[14,4] 40.466 0.663 39.102 40.480 41.751
beta3_pH[15,4] 40.673 1.386 37.014 40.913 42.373
beta3_pH[16,4] 41.891 0.433 41.049 41.919 42.757
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.257 0.021 0.216 0.257 0.298
beta4_pH[2,1] 0.208 0.005 0.198 0.208 0.218
beta4_pH[3,1] 0.171 0.007 0.158 0.171 0.185
beta4_pH[4,1] 0.292 0.012 0.270 0.292 0.314
beta4_pH[5,1] 0.827 0.979 0.127 0.605 2.946
beta4_pH[6,1] 0.979 0.910 0.190 0.748 3.387
beta4_pH[7,1] 0.835 0.353 0.323 0.779 1.676
beta4_pH[8,1] 0.157 0.070 0.042 0.147 0.319
beta4_pH[9,1] 0.213 0.089 0.056 0.208 0.400
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.449 0.012 0.425 0.449 0.473
beta4_pH[12,1] 0.609 0.024 0.563 0.609 0.657
beta4_pH[13,1] 0.625 0.014 0.599 0.625 0.652
beta4_pH[14,1] 0.648 0.030 0.590 0.647 0.706
beta4_pH[15,1] 0.797 0.021 0.758 0.796 0.838
beta4_pH[16,1] 1.080 0.044 0.996 1.079 1.167
beta4_pH[1,2] 0.311 0.094 0.141 0.306 0.506
beta4_pH[2,2] 0.510 0.023 0.464 0.510 0.553
beta4_pH[3,2] 0.443 0.012 0.419 0.443 0.465
beta4_pH[4,2] 0.653 0.037 0.581 0.652 0.730
beta4_pH[5,2] 0.796 0.996 0.107 0.595 2.626
beta4_pH[6,2] 0.971 1.201 0.194 0.734 2.896
beta4_pH[7,2] 0.902 0.447 0.349 0.821 1.932
beta4_pH[8,2] 0.852 0.205 0.477 0.844 1.284
beta4_pH[9,2] 1.209 1.254 0.295 0.898 4.039
beta4_pH[10,2] 0.455 0.051 0.361 0.453 0.560
beta4_pH[11,2] 1.288 0.053 1.188 1.287 1.396
beta4_pH[12,2] 0.568 0.108 0.375 0.562 0.797
beta4_pH[13,2] 0.954 0.044 0.872 0.954 1.042
beta4_pH[14,2] 0.941 0.067 0.817 0.938 1.075
beta4_pH[15,2] 1.015 0.026 0.965 1.015 1.066
beta4_pH[16,2] 1.327 0.098 1.143 1.325 1.530
beta4_pH[1,3] 0.277 0.086 0.122 0.273 0.460
beta4_pH[2,3] 0.045 0.016 0.016 0.044 0.078
beta4_pH[3,3] 0.044 0.009 0.026 0.044 0.062
beta4_pH[4,3] 0.170 0.032 0.108 0.170 0.231
beta4_pH[5,3] 0.804 0.774 0.118 0.615 2.770
beta4_pH[6,3] 1.063 3.482 0.178 0.746 3.248
beta4_pH[7,3] 0.894 0.432 0.375 0.809 1.889
beta4_pH[8,3] 0.401 0.190 0.106 0.380 0.840
beta4_pH[9,3] 1.105 1.648 0.157 0.715 4.157
beta4_pH[10,3] 0.059 0.040 0.003 0.052 0.152
beta4_pH[11,3] 0.363 0.016 0.332 0.363 0.396
beta4_pH[12,3] 0.425 0.043 0.344 0.423 0.516
beta4_pH[13,3] 0.841 0.037 0.768 0.840 0.915
beta4_pH[14,3] 0.820 0.066 0.697 0.818 0.953
beta4_pH[15,3] 0.635 0.016 0.604 0.635 0.665
beta4_pH[16,3] 0.597 0.048 0.505 0.596 0.692
beta4_pH[1,4] 0.650 0.367 0.205 0.573 1.573
beta4_pH[2,4] 0.833 1.006 0.105 0.563 3.381
beta4_pH[3,4] 0.923 1.987 0.102 0.604 3.438
beta4_pH[4,4] 0.742 0.466 0.217 0.627 1.973
beta4_pH[5,4] 0.845 1.416 0.118 0.604 3.005
beta4_pH[6,4] 0.982 1.072 0.196 0.748 3.156
beta4_pH[7,4] 0.875 0.442 0.326 0.798 1.920
beta4_pH[8,4] 0.745 0.657 0.156 0.596 2.239
beta4_pH[9,4] 0.767 0.839 0.120 0.561 2.677
beta4_pH[10,4] 2.348 9.691 0.008 0.383 16.319
beta4_pH[11,4] 0.445 0.017 0.412 0.445 0.479
beta4_pH[12,4] 0.556 0.056 0.450 0.555 0.669
beta4_pH[13,4] 0.933 0.037 0.862 0.933 1.008
beta4_pH[14,4] 0.916 0.075 0.776 0.915 1.068
beta4_pH[15,4] 0.717 0.020 0.677 0.716 0.756
beta4_pH[16,4] 0.606 0.050 0.511 0.605 0.707
beta4_pH[1,5] 0.632 0.336 0.211 0.570 1.408
beta4_pH[2,5] 0.814 0.928 0.100 0.572 3.137
beta4_pH[3,5] 0.848 1.020 0.103 0.584 3.036
beta4_pH[4,5] 0.723 0.472 0.200 0.607 1.971
beta4_pH[5,5] 0.876 2.544 0.123 0.605 2.946
beta4_pH[6,5] 0.959 0.865 0.183 0.740 3.196
beta4_pH[7,5] 0.897 0.507 0.354 0.816 1.878
beta4_pH[8,5] 0.748 0.694 0.150 0.598 2.215
beta4_pH[9,5] 0.823 1.306 0.120 0.555 3.158
beta4_pH[10,5] 2.602 10.591 0.007 0.400 19.545
beta4_pH[11,5] 0.602 0.052 0.506 0.601 0.708
beta4_pH[12,5] 0.591 0.177 0.308 0.571 1.005
beta4_pH[13,5] 0.778 0.061 0.663 0.776 0.903
beta4_pH[14,5] 0.837 0.118 0.629 0.829 1.084
beta4_pH[15,5] 1.147 0.073 1.013 1.145 1.299
beta4_pH[16,5] 28.157 18.825 9.401 22.906 77.944
beta0_pelagic[1] 2.268 0.036 2.201 2.267 2.341
beta0_pelagic[2] 1.538 0.007 1.524 1.538 1.551
beta0_pelagic[3] 0.203 0.234 -0.378 0.257 0.542
beta0_pelagic[4] 0.280 0.193 -0.106 0.273 0.718
beta0_pelagic[5] 1.449 0.156 1.146 1.447 1.761
beta0_pelagic[6] 1.354 0.058 1.245 1.353 1.472
beta0_pelagic[7] 1.483 0.039 1.410 1.482 1.563
beta0_pelagic[8] 1.673 0.043 1.593 1.672 1.762
beta0_pelagic[9] 2.815 0.071 2.680 2.814 2.956
beta0_pelagic[10] 2.602 0.031 2.543 2.602 2.665
beta0_pelagic[11] -0.437 0.456 -1.385 -0.217 0.069
beta0_pelagic[12] 1.801 0.035 1.735 1.800 1.875
beta0_pelagic[13] -0.279 0.284 -0.911 -0.251 0.185
beta0_pelagic[14] -0.257 0.150 -0.554 -0.252 0.014
beta0_pelagic[15] -0.257 0.097 -0.553 -0.226 -0.188
beta0_pelagic[16] -0.494 0.403 -1.372 -0.387 0.063
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.756 0.246 0.355 0.725 1.378
beta1_pelagic[4] 0.761 0.215 0.289 0.768 1.198
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.511 0.549 0.856 1.249 2.575
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 1.981 0.615 1.048 1.893 3.329
beta1_pelagic[14] 1.763 0.409 1.133 1.701 2.838
beta1_pelagic[15] 0.186 0.219 0.011 0.085 0.786
beta1_pelagic[16] 1.813 0.748 0.756 1.611 3.294
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.438 5.836 0.252 4.830 20.780
beta2_pelagic[4] 8.078 5.948 0.518 6.964 21.865
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.342 1.432 0.176 0.772 5.381
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.337 0.335 0.118 0.247 1.220
beta2_pelagic[14] 0.865 0.924 0.223 0.573 3.625
beta2_pelagic[15] 2.568 1.907 0.100 2.188 7.139
beta2_pelagic[16] 0.635 0.995 0.098 0.295 3.943
beta3_pelagic[1] 29.462 6.646 18.616 29.527 40.450
beta3_pelagic[2] 29.642 6.760 18.553 29.779 40.490
beta3_pelagic[3] 28.171 2.696 23.264 28.968 31.927
beta3_pelagic[4] 26.307 1.588 23.549 26.326 30.268
beta3_pelagic[5] 29.670 6.603 18.581 29.715 40.480
beta3_pelagic[6] 29.477 6.663 18.572 29.435 40.382
beta3_pelagic[7] 29.514 6.627 18.491 29.787 40.384
beta3_pelagic[8] 29.590 6.709 18.537 29.695 40.490
beta3_pelagic[9] 29.375 6.643 18.517 29.414 40.461
beta3_pelagic[10] 29.541 6.683 18.456 29.469 40.490
beta3_pelagic[11] 29.187 1.905 25.102 29.480 32.423
beta3_pelagic[12] 29.602 6.709 18.551 29.674 40.320
beta3_pelagic[13] 34.712 2.994 28.734 34.721 40.309
beta3_pelagic[14] 34.388 1.819 31.481 34.205 39.076
beta3_pelagic[15] 32.195 7.459 18.645 33.995 40.893
beta3_pelagic[16] 32.352 3.499 26.383 31.850 40.132
beta0_yellow[1] -0.486 0.080 -0.639 -0.486 -0.330
beta0_yellow[2] 0.531 0.136 0.227 0.551 0.693
beta0_yellow[3] -0.193 0.133 -0.457 -0.196 0.020
beta0_yellow[4] 0.814 0.374 -0.307 0.930 1.188
beta0_yellow[5] 0.275 0.330 -0.432 0.301 0.842
beta0_yellow[6] 0.821 0.107 0.609 0.820 1.029
beta0_yellow[7] 0.997 0.095 0.816 0.994 1.188
beta0_yellow[8] 1.024 0.096 0.836 1.025 1.210
beta0_yellow[9] 0.485 0.105 0.281 0.484 0.698
beta0_yellow[10] 0.537 0.072 0.395 0.536 0.678
beta0_yellow[11] 0.035 0.107 -0.203 0.045 0.219
beta0_yellow[12] -1.144 0.137 -1.478 -1.129 -0.923
beta0_yellow[13] -1.219 0.177 -1.588 -1.205 -0.930
beta0_yellow[14] -0.263 0.122 -0.525 -0.253 -0.049
beta0_yellow[15] -1.057 0.296 -2.095 -0.991 -0.800
beta0_yellow[16] -0.307 0.076 -0.495 -0.293 -0.197
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.039 0.379 0.567 0.992 2.147
beta1_yellow[3] 0.435 0.246 0.016 0.453 0.884
beta1_yellow[4] 1.529 0.942 0.635 1.196 4.433
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 1.999 0.345 1.469 1.947 2.897
beta1_yellow[12] 0.321 0.595 0.011 0.097 2.342
beta1_yellow[13] 2.524 0.680 1.513 2.408 4.218
beta1_yellow[14] 2.826 0.676 1.794 2.717 4.537
beta1_yellow[15] 0.892 0.629 0.093 0.772 2.587
beta1_yellow[16] 0.325 0.515 0.011 0.140 1.579
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.439 5.684 -21.271 -6.247 -0.175
beta2_yellow[3] -7.677 5.691 -21.413 -6.504 -0.476
beta2_yellow[4] -5.017 5.773 -20.222 -2.755 -0.080
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] -3.278 3.758 -14.733 -2.180 -0.431
beta2_yellow[12] -7.684 5.872 -21.665 -6.288 -0.349
beta2_yellow[13] -1.258 2.400 -8.580 -0.581 -0.239
beta2_yellow[14] -3.877 4.466 -17.191 -1.982 -0.458
beta2_yellow[15] -6.139 5.898 -21.017 -4.409 -0.130
beta2_yellow[16] -7.822 5.726 -21.027 -6.634 -0.433
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 28.833 1.442 26.874 28.668 32.123
beta3_yellow[3] 32.198 3.601 22.068 32.574 39.270
beta3_yellow[4] 29.750 3.686 21.365 28.978 35.919
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 30.081 0.735 28.712 30.020 31.560
beta3_yellow[12] 32.711 5.554 23.516 32.876 42.430
beta3_yellow[13] 29.953 1.283 26.911 30.062 32.103
beta3_yellow[14] 29.216 0.629 27.699 29.208 30.379
beta3_yellow[15] 30.111 3.678 24.772 29.458 39.991
beta3_yellow[16] 30.758 5.391 23.528 30.364 41.783
beta0_black[1] 0.011 0.076 -0.135 0.010 0.167
beta0_black[2] 1.854 0.032 1.794 1.855 1.917
beta0_black[3] 1.239 0.037 1.168 1.239 1.312
beta0_black[4] 2.425 0.047 2.332 2.425 2.518
beta0_black[5] 5.128 2.399 1.843 4.617 11.344
beta0_black[6] 5.265 2.264 2.592 4.670 11.401
beta0_black[7] 4.080 2.055 1.648 3.513 9.571
beta0_black[8] 0.877 0.217 0.485 0.865 1.319
beta0_black[9] 2.805 0.269 2.291 2.797 3.348
beta0_black[10] 1.288 0.050 1.187 1.287 1.384
beta0_black[11] 2.979 0.052 2.877 2.979 3.082
beta0_black[12] 4.920 0.190 4.557 4.915 5.299
beta0_black[13] 0.410 0.324 0.013 0.329 1.202
beta0_black[14] 2.854 0.106 2.655 2.854 3.055
beta0_black[15] 0.723 0.050 0.624 0.723 0.822
beta0_black[16] 3.774 0.074 3.630 3.772 3.915
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.489 1.771 -6.895 -2.058 -0.278
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 37.526 2.934 28.850 38.129 40.976
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.326 0.092 -0.510 -0.327 -0.149
beta4_black[2] 0.260 0.053 0.159 0.259 0.364
beta4_black[3] -0.720 0.066 -0.849 -0.720 -0.587
beta4_black[4] 0.630 0.131 0.383 0.628 0.893
beta4_black[5] 0.793 1.731 -1.223 0.515 4.227
beta4_black[6] 0.900 1.703 -0.817 0.552 4.654
beta4_black[7] 0.795 1.583 -0.887 0.508 3.946
beta4_black[8] 0.104 0.276 -0.473 0.107 0.613
beta4_black[9] 1.047 0.837 -0.074 0.873 3.127
beta4_black[10] 0.072 0.067 -0.060 0.072 0.202
beta4_black[11] -0.611 0.065 -0.738 -0.611 -0.485
beta4_black[12] 1.237 0.296 0.693 1.227 1.854
beta4_black[13] -1.004 0.075 -1.157 -1.001 -0.859
beta4_black[14] 0.215 0.179 -0.128 0.215 0.569
beta4_black[15] 0.002 0.046 -0.087 0.001 0.091
beta4_black[16] -0.418 0.116 -0.642 -0.418 -0.182
beta0_dsr[11] -0.329 0.009 -0.347 -0.328 -0.311
beta0_dsr[12] 1.410 0.044 1.326 1.410 1.496
beta0_dsr[13] 0.155 0.021 0.114 0.155 0.196
beta0_dsr[14] -0.128 0.017 -0.161 -0.127 -0.095
beta0_dsr[15] 0.206 0.013 0.179 0.206 0.232
beta0_dsr[16] 0.158 0.015 0.128 0.158 0.189
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.542 0.035 0.473 0.542 0.610
beta4_dsr[12] 0.801 0.225 0.384 0.799 1.263
beta4_dsr[13] -0.077 0.041 -0.155 -0.076 0.005
beta4_dsr[14] -0.208 0.072 -0.351 -0.208 -0.067
beta4_dsr[15] 0.215 0.021 0.174 0.216 0.256
beta4_dsr[16] -0.047 0.044 -0.135 -0.047 0.038
beta0_slope[11] -2.209 0.021 -2.250 -2.209 -2.167
beta0_slope[12] -5.169 0.214 -5.621 -5.161 -4.780
beta0_slope[13] -1.499 0.034 -1.569 -1.499 -1.432
beta0_slope[14] -2.712 0.051 -2.809 -2.711 -2.612
beta0_slope[15] -1.592 0.022 -1.635 -1.592 -1.551
beta0_slope[16] -2.671 0.038 -2.747 -2.669 -2.596
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.333 0.077 -0.488 -0.333 -0.186
beta4_slope[12] -4.635 0.797 -6.283 -4.584 -3.177
beta4_slope[13] 0.327 0.053 0.224 0.327 0.432
beta4_slope[14] -0.157 0.152 -0.462 -0.155 0.128
beta4_slope[15] -0.359 0.033 -0.424 -0.358 -0.294
beta4_slope[16] -0.126 0.102 -0.332 -0.123 0.066
beta5_slope[11] 3.070 0.109 2.860 3.068 3.288
beta5_slope[12] 2.000 0.380 1.278 1.984 2.805
beta5_slope[13] 0.875 0.080 0.720 0.872 1.037
beta5_slope[14] 3.762 0.352 3.104 3.758 4.503
beta5_slope[15] 1.309 0.071 1.171 1.308 1.449
beta5_slope[16] 2.733 0.238 2.295 2.722 3.216
tau_comp[1] 3.772 0.291 3.225 3.766 4.376
tau_comp[2] 2.816 0.235 2.385 2.805 3.298
tau_comp[3] 0.872 0.076 0.732 0.868 1.022
tau_comp[4] 1.764 0.272 1.302 1.743 2.340
tau_comp[5] 1.261 0.182 0.939 1.246 1.647
sigma_H[1] 0.196 0.053 0.103 0.193 0.307
sigma_H[2] 0.170 0.028 0.119 0.168 0.232
sigma_H[3] 0.203 0.043 0.129 0.199 0.296
sigma_H[4] 0.394 0.081 0.255 0.388 0.567
sigma_H[5] 1.039 0.221 0.625 1.037 1.499
sigma_H[6] 0.296 0.207 0.013 0.270 0.748
sigma_H[7] 0.276 0.048 0.197 0.272 0.385
sigma_H[8] 0.433 0.091 0.305 0.421 0.638
sigma_H[9] 0.390 0.076 0.274 0.379 0.572
sigma_H[10] 0.221 0.044 0.146 0.217 0.313
sigma_H[11] 0.265 0.045 0.189 0.260 0.365
sigma_H[12] 0.405 0.159 0.203 0.358 0.744
sigma_H[13] 0.203 0.036 0.138 0.200 0.282
sigma_H[14] 0.463 0.095 0.308 0.452 0.678
sigma_H[15] 0.242 0.039 0.176 0.239 0.326
sigma_H[16] 0.221 0.044 0.148 0.216 0.315
lambda_H[1] 2.700 4.425 0.082 1.201 14.290
lambda_H[2] 8.227 8.247 0.693 5.649 32.173
lambda_H[3] 4.836 7.353 0.253 2.568 22.194
lambda_H[4] 0.008 0.006 0.001 0.006 0.022
lambda_H[5] 3.705 10.645 0.016 0.558 31.144
lambda_H[6] 9.187 14.511 0.019 3.628 50.505
lambda_H[7] 0.014 0.010 0.002 0.012 0.041
lambda_H[8] 7.839 10.040 0.006 4.517 34.946
lambda_H[9] 0.020 0.014 0.004 0.017 0.056
lambda_H[10] 0.309 0.762 0.027 0.184 1.183
lambda_H[11] 0.210 0.331 0.010 0.089 1.116
lambda_H[12] 4.498 5.805 0.223 2.597 19.987
lambda_H[13] 3.437 3.114 0.288 2.593 11.983
lambda_H[14] 3.365 4.050 0.254 2.160 13.949
lambda_H[15] 0.021 0.038 0.003 0.014 0.074
lambda_H[16] 0.882 1.841 0.031 0.310 5.393
mu_lambda_H[1] 4.222 1.861 1.170 4.088 8.182
mu_lambda_H[2] 3.910 1.950 0.661 3.741 8.074
mu_lambda_H[3] 3.503 1.844 0.699 3.265 7.870
sigma_lambda_H[1] 8.451 4.288 1.971 7.761 18.042
sigma_lambda_H[2] 8.456 4.608 1.175 7.920 18.348
sigma_lambda_H[3] 6.419 4.017 0.944 5.741 16.552
beta_H[1,1] 6.672 1.278 3.475 6.901 8.473
beta_H[2,1] 9.861 0.482 8.808 9.887 10.771
beta_H[3,1] 7.915 0.828 5.899 8.020 9.277
beta_H[4,1] 13.297 7.866 -1.051 12.821 30.518
beta_H[5,1] -0.280 2.997 -6.568 -0.054 4.783
beta_H[6,1] 4.549 2.872 -3.784 5.312 7.816
beta_H[7,1] 2.465 5.362 -9.022 2.659 12.692
beta_H[8,1] 2.000 6.720 -2.370 1.232 11.071
beta_H[9,1] 13.811 5.519 3.580 13.573 25.814
beta_H[10,1] 7.099 1.778 3.475 7.171 10.536
beta_H[11,1] 4.552 3.604 -3.281 5.055 9.841
beta_H[12,1] 2.518 1.004 0.705 2.460 4.724
beta_H[13,1] 9.063 0.869 7.178 9.116 10.498
beta_H[14,1] 2.146 1.002 0.085 2.132 4.098
beta_H[15,1] -6.729 3.623 -13.294 -6.949 1.202
beta_H[16,1] 4.078 2.900 -0.631 3.688 11.393
beta_H[1,2] 7.905 0.260 7.380 7.909 8.403
beta_H[2,2] 10.026 0.137 9.751 10.028 10.290
beta_H[3,2] 8.927 0.200 8.546 8.921 9.332
beta_H[4,2] 2.010 1.513 -1.100 2.057 4.973
beta_H[5,2] 1.875 1.132 -0.332 1.876 4.039
beta_H[6,2] 6.220 0.857 4.192 6.318 7.717
beta_H[7,2] 1.973 1.007 0.110 1.930 4.089
beta_H[8,2] 2.813 1.684 -1.417 3.094 4.223
beta_H[9,2] 2.712 1.033 0.631 2.714 4.743
beta_H[10,2] 8.164 0.361 7.387 8.180 8.825
beta_H[11,2] 9.879 0.653 8.873 9.788 11.252
beta_H[12,2] 3.939 0.364 3.261 3.927 4.663
beta_H[13,2] 9.156 0.235 8.718 9.147 9.632
beta_H[14,2] 4.067 0.344 3.419 4.072 4.741
beta_H[15,2] 11.497 0.657 10.084 11.527 12.711
beta_H[16,2] 4.698 0.837 3.122 4.698 6.357
beta_H[1,3] 8.565 0.266 8.088 8.556 9.103
beta_H[2,3] 10.098 0.116 9.881 10.095 10.335
beta_H[3,3] 9.630 0.171 9.303 9.626 9.981
beta_H[4,3] -0.562 1.179 -2.642 -0.633 2.146
beta_H[5,3] 4.131 0.701 2.757 4.114 5.560
beta_H[6,3] 7.587 0.918 6.271 7.403 10.121
beta_H[7,3] -2.034 0.646 -3.353 -2.016 -0.764
beta_H[8,3] 5.332 0.828 4.643 5.180 7.641
beta_H[9,3] -1.654 0.707 -3.071 -1.647 -0.302
beta_H[10,3] 8.785 0.281 8.253 8.780 9.349
beta_H[11,3] 8.458 0.298 7.830 8.480 8.994
beta_H[12,3] 5.358 0.312 4.660 5.388 5.879
beta_H[13,3] 8.950 0.181 8.598 8.946 9.305
beta_H[14,3] 5.866 0.278 5.259 5.880 6.365
beta_H[15,3] 10.282 0.316 9.674 10.284 10.909
beta_H[16,3] 6.138 0.817 4.434 6.201 7.493
beta_H[1,4] 8.275 0.185 7.885 8.282 8.611
beta_H[2,4] 10.158 0.121 9.896 10.166 10.369
beta_H[3,4] 10.141 0.161 9.785 10.153 10.416
beta_H[4,4] 11.586 0.440 10.721 11.591 12.455
beta_H[5,4] 5.748 0.877 4.344 5.617 7.725
beta_H[6,4] 7.564 0.678 5.798 7.666 8.656
beta_H[7,4] 8.411 0.318 7.765 8.415 9.018
beta_H[8,4] 6.711 0.342 5.887 6.755 7.144
beta_H[9,4] 7.148 0.371 6.411 7.147 7.877
beta_H[10,4] 7.820 0.245 7.350 7.817 8.327
beta_H[11,4] 9.487 0.199 9.092 9.486 9.882
beta_H[12,4] 7.240 0.207 6.841 7.239 7.667
beta_H[13,4] 9.088 0.143 8.800 9.090 9.363
beta_H[14,4] 7.913 0.211 7.506 7.912 8.332
beta_H[15,4] 9.481 0.230 9.037 9.478 9.945
beta_H[16,4] 9.471 0.294 8.945 9.463 10.067
beta_H[1,5] 9.077 0.153 8.773 9.079 9.369
beta_H[2,5] 10.835 0.097 10.652 10.833 11.034
beta_H[3,5] 10.941 0.178 10.614 10.933 11.318
beta_H[4,5] 8.530 0.435 7.687 8.533 9.417
beta_H[5,5] 5.057 0.744 3.272 5.188 6.207
beta_H[6,5] 8.639 0.510 7.883 8.554 9.888
beta_H[7,5] 6.663 0.313 6.063 6.664 7.286
beta_H[8,5] 8.338 0.288 7.948 8.308 8.950
beta_H[9,5] 8.395 0.365 7.683 8.402 9.082
beta_H[10,5] 10.157 0.251 9.639 10.165 10.643
beta_H[11,5] 11.591 0.227 11.154 11.591 12.039
beta_H[12,5] 8.575 0.194 8.180 8.578 8.950
beta_H[13,5] 10.096 0.127 9.856 10.096 10.353
beta_H[14,5] 9.284 0.208 8.897 9.275 9.710
beta_H[15,5] 11.251 0.241 10.787 11.249 11.740
beta_H[16,5] 9.876 0.199 9.438 9.886 10.225
beta_H[1,6] 10.223 0.237 9.840 10.187 10.799
beta_H[2,6] 11.537 0.107 11.333 11.535 11.748
beta_H[3,6] 10.727 0.171 10.370 10.737 11.042
beta_H[4,6] 12.892 0.766 11.292 12.901 14.382
beta_H[5,6] 5.877 0.733 4.635 5.811 7.537
beta_H[6,6] 8.739 0.447 7.794 8.740 9.585
beta_H[7,6] 10.482 0.532 9.417 10.491 11.517
beta_H[8,6] 9.570 0.377 8.795 9.611 10.033
beta_H[9,6] 8.171 0.611 7.001 8.156 9.401
beta_H[10,6] 9.400 0.353 8.631 9.431 10.015
beta_H[11,6] 10.647 0.376 9.861 10.674 11.314
beta_H[12,6] 9.384 0.240 8.923 9.377 9.887
beta_H[13,6] 11.102 0.148 10.817 11.099 11.405
beta_H[14,6] 9.928 0.268 9.380 9.931 10.438
beta_H[15,6] 10.641 0.432 9.764 10.649 11.483
beta_H[16,6] 10.694 0.250 10.191 10.701 11.203
beta_H[1,7] 10.306 1.231 7.117 10.578 11.939
beta_H[2,7] 12.119 0.443 11.175 12.141 12.947
beta_H[3,7] 10.282 0.725 8.681 10.345 11.531
beta_H[4,7] 1.839 3.960 -5.792 1.838 9.713
beta_H[5,7] 6.160 2.485 1.063 6.201 11.030
beta_H[6,7] 8.487 1.848 3.421 8.892 10.768
beta_H[7,7] 7.977 2.704 2.571 7.996 13.266
beta_H[8,7] 11.104 1.469 9.423 10.975 13.719
beta_H[9,7] 5.523 3.132 -0.945 5.633 11.304
beta_H[10,7] 10.286 1.604 7.634 10.095 13.915
beta_H[11,7] 11.625 1.850 8.412 11.439 15.647
beta_H[12,7] 9.904 0.910 7.825 9.989 11.460
beta_H[13,7] 11.733 0.695 10.121 11.797 12.900
beta_H[14,7] 10.620 0.888 8.773 10.656 12.249
beta_H[15,7] 13.639 2.229 9.300 13.590 18.172
beta_H[16,7] 12.693 1.342 10.453 12.504 15.676
beta0_H[1] 8.197 17.115 -26.914 8.667 42.519
beta0_H[2] 10.803 6.228 -2.105 10.703 24.182
beta0_H[3] 9.901 10.513 -11.728 9.740 33.680
beta0_H[4] 5.628 172.027 -339.651 4.473 363.350
beta0_H[5] 4.531 36.007 -65.390 4.342 80.845
beta0_H[6] 7.803 28.442 -49.264 7.587 64.342
beta0_H[7] 7.842 123.816 -248.530 9.117 254.474
beta0_H[8] 6.035 57.695 -21.018 6.362 33.167
beta0_H[9] 4.984 109.215 -214.566 7.274 220.201
beta0_H[10] 9.304 36.319 -61.328 9.505 78.208
beta0_H[11] 9.704 56.706 -106.849 10.027 127.787
beta0_H[12] 6.747 11.317 -15.913 6.900 27.552
beta0_H[13] 9.634 10.255 -10.765 9.654 29.959
beta0_H[14] 7.201 11.466 -14.567 7.119 30.755
beta0_H[15] 10.885 113.004 -217.758 9.662 247.614
beta0_H[16] 8.145 30.273 -53.268 8.134 73.012